src/section-MISLE.xml

</equation>

Compute the inverse of $E$, $\inverse{E}$, by forming the $5\times 10$ matrix $\augmented{E}{I_5}$ and row-reducing (<acroref type="theorem" acro="CINM" />). Then use a calculator to compute $\inverse{E}$ directly.

</problem>

-<solution contributor="robertbeezer">The matrix $E$ has no inverse, though we do not yet have a theorem that allows us to reach this conclusion. However, when row-reducing the matrix $\augmented{E}{I_5}$, the first 5 columns will not row-reduce to the $5\times 5$ identity matrix, so we are a t a loss on how we might compute the inverse. When requesting that your calculator compute $\inverse{E}$, it should give some indication that $E$ does not have an inverse.

+<solution contributor="robertbeezer">The matrix $E$ has no inverse, though we do not yet have a theorem that allows us to reach this conclusion. However, when row-reducing the matrix $\augmented{E}{I_5}$, the first 5 columns will not row-reduce to the $5\times 5$ identity matrix, so we are at a loss on how we might compute the inverse. When requesting that your calculator compute $\inverse{E}$, it should give some indication that $E$ does not have an inverse.